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Finding the Third Proportional to 26,546 and 55,972

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Solution

The third proportional to 26,546 and 55,972 is: 118,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546 : 55,972 = 55,972 : x
  2. Step 2: Convert to fraction form
    26,546/55,972 = 55,972/x
  3. Step 3: Cross multiply
    26,546x = 55,972 × 55,972
  4. Step 4: Simplify right side
    26,546x = 3,132,864,784
  5. Step 5: Solve for x
    x = 3,132,864,784/26,546
  6. Step 6: Final answer
    x = 118,016.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.